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3 years ago

(-2,1); perpendicular to y= - 2/5x -4 Help explain step by step?

Mathematics

1 answer:

Fittoniya [83]3 years ago

8 0

Answer:

y = (5/2)x + 6

Step-by-step explanation:

The given line has a slope (coefficient of x) of -2/5. The perpendicular line will have a slope that is the negative reciprocal of this:

-1/(-2/5) = 5/2

Since you are given a point you want the line to go through, the point-slope form of the equation of the line is useful. That form for slope m and point (h, k) is ...

y = m(x -h) +k

For your slope m=5/2 and point (h, k) = (-2, 1), the equation of the line is ...

y = 5/2(x +2) +1

y = 5/2x +6 . . . . . eliminate parentheses

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Please help meeee I don't know this

Vanyuwa [196]

Answer:

$\boxed {m = -\frac{5}{7}}$

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

First Point: $(x_{1} , y_{1})$

Second Point: $(x_{2}, y_{2})$

-Substitute both points:

First Point: $(5, 11)$

Second Point: $(19, -1)$

$m = \frac{-1 - 11}{19 - 5}$

-Solve for the slope:

$m = \frac{-1 - 11}{19 - 5}$

$m = \frac{-10}{14}$

$\boxed {m = -\frac{5}{7}}$

Therefore, the slope is $-\frac{5}{7}$

4 0

3 years ago

Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children

Shkiper50 [21]

Answer:

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have that:

$p = 0.69$

99.5% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.9975$ , so $Z = 2.81$ .

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?

This is n when M = 0.07. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.07 = 2.81\sqrt{\frac{0.69*0.31}{n}}$

$0.07\sqrt{n} = 1.2996$

$\sqrt{n} = \frac{1.2996}{0.07}$

$\sqrt{n} = 18.5658$

$(\sqrt{n})^{2} = (18.5658)^{2}$

$n = 345$

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

4 0

2 years ago

What is the answer for -6n-2n=16

djverab [1.8K]

Answer:

n=-2

Step-by-step explanation:

-6n-2n=16

-8n=16

n=16/-8

n=-2

8 0

3 years ago

Read 2 more answers

The constraints of a problem are listed below. What are the vertices of the feasible region?

Mamont248 [21]

Answer:

Option 4 : $(0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)$

Step-by-step explanation:

See the attached figure:

To find the vertices of the feasible region, we need to graph the constraints, then find the area included by them, then calculate the vertices which is the intersection between each two of them.

As shown, the shaded area represents the solution of the constraints

So, the vertices of the feasible region are:

$(0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)$

8 0

2 years ago

Read 2 more answers

At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they

Katen [24]

Answer:

b. 13

Step-by-step explanation:

163-9=154 to get the amount of people coming

154÷12=12.833 is the amount of tables needed if each seat 12 and 154 people are coming

round up to 13 because you cant have 12.833 tables

6 0

2 years ago